Question

Ali and jake went on a cross country trip they took a train part of the way and took a bus the rest of the way they traveled a total of 1450 riding on the train 150 more kilometers than on the bus

let x=kilometers traveled by bus
let y = kilometers traveled by train
question how many kilometers did they travel by train?

Answer 1

y=800 km

Explanation:

Let the distance traveled by train be y and by bus be x.

Bus -x

Train -y

y=x+150 (since they traveled by train for a distance of 150 km more than by bus.)

The sum of the two is equal to 1450

x+y=1450

The two equations form simultaneous equations which when solved simultaneously give the values of x and y.

y+x=1450

y-x=150

Adding the two we get:

2y=1600

Divide both sides by two:

y=800 km

Y is the distance traveled by train= 800 km